Abstract:
The paper provides an overview of the authors' results on nets, carpets, elementary net subgroups, carpet subgroups, and carpet Lie rings. Some open questions are also formulated.
Citation:
V. A. Koibaev, Ya. N. Nuzhin, “Subgroups of the Chevalley groups and Lie rings definable by a collection of additive subgroups of the initial ring”, Fundam. Prikl. Mat., 18:1 (2013), 75–84; J. Math. Sci., 201:4 (2014), 458–464